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Finding the Fourth Proportional to 1,904.46, 2,854.33 and 864.17

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Solution

The fourth proportional to 1,904.46, 2,854.33 and 864.17 is: 1,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.46 : 2,854.33 = 864.17 : x
  2. Step 2: Convert to fraction form
    1,904.46/2,854.33 = 864.17/x
  3. Step 3: Cross multiply
    1,904.46x = 2,854.33 × 864.17
  4. Step 4: Simplify right side
    1,904.46x = 2,466,612.08
  5. Step 5: Solve for x
    x = 2,466,612.08/1,904.46
  6. Step 6: Final answer
    x = 1,295.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.